Hyponormal Quantization of Planar Domains

Autor: Björn Gustafsson, Mihai Putinar

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Editura: Springer International Publishing AG

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This book exploits the classification of a class of linear bounded operators with rank-one self-comm...

Informații despre carte

Autor

Björn Gustafsson, Mihai Putinar

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2017

Pagini

150

EAN

9783319658094

ISBN

3319658093

Enbook ID

16771805

Editura

Springer International Publishing AG

Greutate

250

Dimensiuni

233 x 158 x 17

Descriere completă

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established. The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.

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Hyponormal Quantization of Planar Domains

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